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The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

机器学习 · 计算机科学 2019-01-28 Xi Chen , Mike Hobson

Stochastic Gradient Descent (SGD) has played a central role in machine learning. However, it requires a carefully hand-picked stepsize for fast convergence, which is notoriously tedious and time-consuming to tune. Over the last several…

机器学习 · 计算机科学 2019-06-10 Zhenxun Zhuang , Ashok Cutkosky , Francesco Orabona

Stochastic-gradient-based optimization has been a core enabling methodology in applications to large-scale problems in machine learning and related areas. Despite the progress, the gap between theory and practice remains significant, with…

最优化与控制 · 数学 2021-01-01 Lihua Lei , Michael I. Jordan

Support vector machine (SVM) is a well known binary linear classification model in supervised learning. This paper proposes a globalized distributionally robust chance-constrained (GDRC) SVM model based on core sets to address uncertainties…

最优化与控制 · 数学 2025-05-16 Yueyao Li , Chenglong Bao , Wenxun Xing

Standard approaches to tackle high-dimensional supervised classification problem often include variable selection and dimension reduction procedures. The novel methodology proposed in this paper combines clustering of variables and feature…

统计理论 · 数学 2018-11-07 Marie Chavent , Robin Genuer , Jerome Saracco

The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

图像与视频处理 · 电气工程与系统科学 2020-10-01 Xihaier Luo , Ahsan Kareem

SVD (singular value decomposition) is one of the basic tools of machine learning, allowing to optimize basis for a given matrix. However, sometimes we have a set of matrices $\{A_k\}_k$ instead, and would like to optimize a single common…

机器学习 · 计算机科学 2022-04-19 Jarek Duda

We propose Score-based Relaxation-guided Generation (SRG), a generative framework based on an approximate formulation of relaxation-guided stochastic differential equations (SDEs) for mixed-integer linear programming. SRG employs a…

机器学习 · 计算机科学 2026-05-13 Ruobing Wang , Xin Li , Yujie Fang , Mingzhong Wang

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

最优化与控制 · 数学 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

In this paper, we propose a variable grouping method based on cooperative coevolution for large-scale multi-objective problems (LSMOPs), named Linkage Measurement Minimization (LMM). And for the sub-problem optimization stage, a hybrid…

神经与进化计算 · 计算机科学 2022-08-30 Rui Zhong , Masaharu Munetomo

In modern day simulations of many-body systems much of the computational complexity is shifted to the identification of slowly changing molecular order parameters called collective variables (CV) or reaction coordinates. A vast array of…

统计力学 · 物理学 2016-04-27 Pratyush Tiwary , B. J. Berne

Fatigue crack growth is one of the most common types of deterioration in metal structures with significant implications on their reliability. Recent advances in Structural Health Monitoring (SHM) have motivated the use of structural…

机器学习 · 统计学 2023-10-12 Nicholas E. Silionis , Konstantinos N. Anyfantis

In this contribution, we present a full overview of the continuous stochastic gradient (CSG) method, including convergence results, step size rules and algorithmic insights. We consider optimization problems in which the objective function…

最优化与控制 · 数学 2023-03-23 Max Grieshammer , Lukas Pflug , Michael Stingl , Andrian Uihlein

Using Neuroevolution combined with Novelty Search to promote behavioural diversity is capable of constructing high-performing ensembles for classification. However, using gradient descent to train evolved architectures during the search can…

机器学习 · 计算机科学 2022-02-09 Rui P. Cardoso , Emma Hart , David Burth Kurka , Jeremy V. Pitt

Multi-objective optimization aims to solve problems with competing objectives. Evaluating such problems is often slow or expensive, limiting the budget of evaluations. In many applications, historical data from related optimization tasks is…

机器学习 · 计算机科学 2026-05-12 Leonard Papenmeier , Petru Tighineanu

This work aims at developing new methodologies to optimize computational costly complex systems (e.g., aeronautical engineering systems). The proposed surrogate-based method (often called Bayesian optimization) uses adaptive sampling to…

In this paper, we proposed a new technique, {\em variance controlled stochastic gradient} (VCSG), to improve the performance of the stochastic variance reduced gradient (SVRG) algorithm. To avoid over-reducing the variance of gradient by…

机器学习 · 计算机科学 2021-02-22 Jia Bi , Steve R. Gunn

The redundant features existing in high dimensional datasets always affect the performance of learning and mining algorithms. How to detect and remove them is an important research topic in machine learning and data mining research. In this…

机器学习 · 计算机科学 2017-07-04 Shuchu Han , Hao Huang , Hong Qin

Very deep convolutional neural networks (CNNs) have been firmly established as the primary methods for many computer vision tasks. However, most state-of-the-art CNNs are large, which results in high inference latency. Recently, depth-wise…

计算机视觉与模式识别 · 计算机科学 2025-01-07 Yihui He , Jianing Qian , Jianren Wang , Cindy X. Le , Congrui Hetang , Qi Lyu , Wenping Wang , Tianwei Yue

The optimization of algorithm (hyper-)parameters is crucial for achieving peak performance across a wide range of domains, ranging from deep neural networks to solvers for hard combinatorial problems. The resulting algorithm configuration…

人工智能 · 计算机科学 2017-03-31 Katharina Eggensperger , Marius Lindauer , Holger H. Hoos , Frank Hutter , Kevin Leyton-Brown